Question

Suppose that Q(x) is “x+1=2x”, where x is a real number. Find the truth value of the following statement: 

a) Q(2) b) ∀𝑄(𝑥) c) ∃𝑄(𝑥) 

Answer 1

a) false

$2+1\neq2\cdot2$

b) false

Example: $Q(2)$, $2+1\neq2\cdot2$

c) true

Example: $Q(1), 1+1=2\cdot1$